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Finding the Fourth Proportional to 299,147.58, 448,669.53 and 77,531.58

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Solution

The fourth proportional to 299,147.58, 448,669.53 and 77,531.58 is: 116,283.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,147.58 : 448,669.53 = 77,531.58 : x
  2. Step 2: Convert to fraction form
    299,147.58/448,669.53 = 77,531.58/x
  3. Step 3: Cross multiply
    299,147.58x = 448,669.53 × 77,531.58
  4. Step 4: Simplify right side
    299,147.58x = 34,786,057,558.76
  5. Step 5: Solve for x
    x = 34,786,057,558.76/299,147.58
  6. Step 6: Final answer
    x = 116,283.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.